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Finding the Fourth Proportional to 32,896.26, 49,347.53 and 9,203.82

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Solution

The fourth proportional to 32,896.26, 49,347.53 and 9,203.82 is: 13,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.26 : 49,347.53 = 9,203.82 : x
  2. Step 2: Convert to fraction form
    32,896.26/49,347.53 = 9,203.82/x
  3. Step 3: Cross multiply
    32,896.26x = 49,347.53 × 9,203.82
  4. Step 4: Simplify right side
    32,896.26x = 454,185,737.55
  5. Step 5: Solve for x
    x = 454,185,737.55/32,896.26
  6. Step 6: Final answer
    x = 13,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.